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From the perspective of non-equilibrium statistical mechanics, modeling the velocity distribution of particles in non-equilibrium, steady-state plasmas presents a significant challenge. Under this context, a family of kappa distributions…

Plasma Physics · Physics 2025-09-10 Abiam Tamburrini , Sergio Davis , Pablo S. Moya

The dissipation of turbulent magnetic fields is an appealing scenario to explain the origin of non-thermal particles in high-energy astrophysical sources. However, it has been suggested that the particle distribution may effectively…

High Energy Astrophysical Phenomena · Physics 2020-01-09 Emanuele Sobacchi , Yuri E. Lyubarsky

Power-law probability distributions are widely used to model extreme statistical events in complex systems, with applications to a vast array of natural phenomena ranging from earthquakes to stock market crashes to pandemics. We show that…

Quantum Physics · Physics 2026-04-08 Wai-Keong Mok

Building on recent progress in the understanding of particle transport in magnetized plasmas, we derive a scaling law for the formation of nonthermal spectral tails in mildly and strongly magnetized turbulent environments. We validate this…

Plasma Physics · Physics 2026-05-28 Rostom Mbarek , Daniel Grošelj , Alexander Philippov

While collisionless plasmas are ubiquitously present near astrophysical compact objects, the impact that their composition has on the high-energy emission is presently unknown. We present the first investigation of particle-acceleration…

High Energy Astrophysical Phenomena · Physics 2026-04-09 Claudio Meringolo , Mario Imbrogno , Alejandro Cruz-Osorio , Sergio Servidio , Luciano Rezzolla

We study the nonextensive parameter for the rotating astrophysical systems with power-law distributions, including both the rotating self-gravitating system and the rotating space plasma. We extend the equation of nonextensive parameter to…

Statistical Mechanics · Physics 2017-02-10 Haining Yu , Jiulin Du

Starting from the BBGKY hierarchy, describing the kinetics of nonlinear particle system, we obtain the relevant entropy and stationary distribution function. Subsequently, by employing the Lorentz transformations we propose the relativistic…

Statistical Mechanics · Physics 2012-06-12 G. Kaniadakis

Magnetic reconnection, especially in the relativistic regime, provides an efficient mechanism for accelerating relativistic particles and thus offers an attractive physical explanation for nonthermal high-energy emission from various…

High Energy Astrophysical Phenomena · Physics 2022-07-15 Dmitri A. Uzdensky

In turbulent magnetized plasmas, charged particles can be accelerated to high energies through their interactions with the turbulent motions. As they do so, they draw energy from the turbulence, possibly up to the point where they start…

High Energy Astrophysical Phenomena · Physics 2024-03-11 M. Lemoine , K. Murase , F. Rieger

Particle velocity distribution functions (VDF) in space plasmas often show non Maxwellian suprathermal tails decreasing as a power law of the velocity. Such distributions are well fitted by the so-called Kappa distribution. The presence of…

Space Physics · Physics 2015-05-18 V. Pierrard , M. Lazar

Collisionless plasmas exhibit nonthermal particle distributions after being energized; as a consequence, they enter a state of low Boltzmann-Gibbs (BG) entropy relative to the thermal state. The Vlasov equations predict that in a…

High Energy Astrophysical Phenomena · Physics 2022-07-21 Vladimir Zhdankin

Using two-dimensional particle-in-cell simulations, we characterize the energy spectra of particles accelerated by relativistic magnetic reconnection (without guide field) in collisionless electron-positron plasmas, for a wide range of…

High Energy Astrophysical Phenomena · Physics 2016-01-18 G. R. Werner , D. A. Uzdensky , B. Cerutti , K. Nalewajko , M. C. Begelman

Non-thermal power-law distribution functions are ubiquitous in astrophysical, space, and laboratory kinetic plasmas, but their origin remains unclear. A related puzzle is the temperature inversion of the solar corona. We show that these…

Solar and Stellar Astrophysics · Physics 2026-05-07 Uddipan Banik , Amitava Bhattacharjee

Collisional thermalization of a particle ensemble under the energy dissipation can be seen in variety of systems, such as heated granular gasses and particles in plasmas. Despite its universal existence, analytical descriptions of the…

Plasma Physics · Physics 2021-11-08 Keisuke Fujii , Jun Imano , Arseniy Kuzmin , Taiichi Shikama , Masahiro Hasuo

A statistical thermodynamic approach of moving particles forming an elastic body is presented which leads to reveal molecular-mechanical properties of classical and nonextensive dynamical systems. We derive the Boltzmann-Gibbs (BG) entropy…

Statistical Mechanics · Physics 2009-11-10 Enrique Canessa

Magnetized turbulence and magnetic reconnection are often invoked to explain the nonthermal emission observed from a wide variety of astrophysical sources. By means of fully-kinetic 2D and 3D PIC simulations, we investigate the interplay…

High Energy Astrophysical Phenomena · Physics 2019-12-04 Luca Comisso , Lorenzo Sironi

We develop a method for investigating the relationship between the shape of a 1-particle distribution and non-linear electrostatic oscillations in a collisionless plasma, incorporating transverse thermal motion. A general expression is…

Plasma Physics · Physics 2008-07-30 D. A. Burton , A. Noble

Probability distributions having power-law tails are observed in a broad range of social, economic, and biological systems. We describe here a potentially useful common framework. We derive distribution functions $\{p_k\}$ for situations in…

Physics and Society · Physics 2015-01-07 Jack Peterson , Purushottam D. Dixit , Ken A. Dill

We study particle acceleration in strongly turbulent pair plasmas using novel 3D Particle-in-Cell simulations, featuring particle injection from an external heat bath and diffusive escape. We demonstrate the formation of steady-state,…

High Energy Astrophysical Phenomena · Physics 2025-07-10 Evgeny A. Gorbunov , Daniel Grošelj , Fabio Bacchini

We consider the hypothesis that cosmic rays are emitted from the surfaces of neutron stars by a process of evaporation from an internal nuclear liquid to a dilute external gas which constitutes the "vacuum". On this basis, we find an…

High Energy Physics - Phenomenology · Physics 2014-10-08 A. Widom , J. Swain , Y. N. Srivastava